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Finding the Fourth Proportional to 348,839, 523,336.50 and 127,223

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Solution

The fourth proportional to 348,839, 523,336.50 and 127,223 is: 190,862.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,839 : 523,336.50 = 127,223 : x
  2. Step 2: Convert to fraction form
    348,839/523,336.50 = 127,223/x
  3. Step 3: Cross multiply
    348,839x = 523,336.50 × 127,223
  4. Step 4: Simplify right side
    348,839x = 66,580,439,539.50
  5. Step 5: Solve for x
    x = 66,580,439,539.50/348,839
  6. Step 6: Final answer
    x = 190,862.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.